Least Common Multiple (LCM) of 62 and 200
The least common multiple (LCM) of 62 and 200 is 6200.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 62 and 200?
First, calculate the GCD of 62 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 62 ÷ 200 = 0 remainder 62 |
| 2 | 200 ÷ 62 = 3 remainder 14 |
| 3 | 62 ÷ 14 = 4 remainder 6 |
| 4 | 14 ÷ 6 = 2 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 166 | 27390 |
| 103 and 180 | 18540 |
| 77 and 163 | 12551 |
| 136 and 80 | 1360 |
| 105 and 162 | 5670 |